Contents: 1. Groups of plane symmetries. 2. Groups and their homomorphisms. 3. Subgroups, normal subgroups and quotient groups. 4. Homomorphism theorems. 5. Direct and semidirect products. 6. Finite groups. 7. Series of subgroups. 8. Abelian groups. 9. Finite subgroups of orthogonal groups. Bibliography. Index.

"This volume is devoted to the study of groups. Chapter 2 to 4 introduce the basic notions of groups (with operators) and their homomorphisms including. Presentations of groups by generators and relations. Chapter 5 considers direct and semidirect products. Chapter 6 to 8 establish sylow theorems and study abelian soluble and nilpotent groups. Finally chapter 9 returns to geometry and study finite subgroups of rotations in R 3. The text is rich in examples and exercises and develops the subject at a leisurely pace." (jacket)